General’s in grip of snake and snoozing (6)
I believe the answer is:
'snoozing' is the definition.
(I've seen this before)
'general's in grip of snake' is the wordplay.
'general' becomes 'lee' (Robert E. Lee - US revolutionary commander).
'in grip of' is an insertion indicator.
'snake' becomes 'asp' (asp is a kind of snake).
'lee' going inside 'asp' is 'ASLEEP'.
'and' acts as a link.
(Other definitions for asleep that I've seen before include "Inattentive; numbed", "Resting unconscious", "Dozing", "Slumbering", "out like a light?".)